Which expression is a cube root of -1 + i sqrt 3

Answer:

Check pdf

Step-by-step explanation:

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

Answer:

7 penguins are in the water.

21 penguins in all.

Step-by-step explanation:

14 penguins on the rocks.

Half of them equals 7 are in the water swimming.

7 + 14 = 21

7 penguins are in the water.

21 penguins in all.

The number of penguins in water = 7 penguins

The total number of penguins  = 21 penguins

Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.

From the information given:

Thus, the number of penguins in water = 7 penguins

The total number of penguins overall = penguins in water + penguins on the rock

The total number of penguins overall = 7 + 14

The total number of penguins overall = 21 penguins

Learn more about word problems here:

https://brainly.com/question/25693822

Answer:

x^2 - 2

Step-by-step explanation:

The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been

x^2 - 2

(3x²+2)-(2x²+4)

write in a different form, remove parentheses

3x²+2-2x²-4

calculate the value of the corresponding terms

x²-2

Answer: Yes, he made a mistake.

A simplified expression would look like this x²-2 and not like this x²+^6.

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Answer:

6

Step-by-step explanation:

The two small triangles are congruent by SAS.

By CPCTC, x = 6.

Answer: 6

Answer:

[tex]Volume = 960in^3[/tex]

Step-by-step explanation:

Given

Empty Tank

[tex]Length = 24in; Width=10in; Height = 12in[/tex]

When filled with water, the height is:

[tex]Height = 8in[/tex]

Required

Determine how many more cubic inches needed

First, we calculate the difference between the height of the tank and the height of the water.

[tex]H = 12in - 8in[/tex]

[tex]H = 4in[/tex]

The volume of water to full the tank is then calculated as:

[tex]Volume = Length * Width * H[/tex]

[tex]Volume = 24in * 10in * 4in[/tex]

[tex]Volume = 960in^3[/tex]

Answer:

True

Step-by-step explanation:

Answer: the answer is true sorry if its wrong

Step-by-step explanation:

have a nice day buddy

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

c = 3[tex]\sqrt{2}[/tex]

Answer: -6 ≤ x < 4

Step-by-step explanation:

Open circles on a graph mean that that point is not included

Filled in circles on a graph mean that that point is included

As a result, the end point (-6, -6) is included while (4, 8) is not

The domain is all possible x-values so the graph can be anywhere from:

-6 ≤ x < 4

Note that there are no possible values for the x-value of 4

Answer: 34

Hope this helps :)

Answer:

A=4

B=3

C=2

D=1

Step-by-step explanation:

Answer:

Sorry, I can't complete this without knowing the radius, or diameter.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

I believe you have to approximate or round it off.

that will be 6.9.

Answer:

x = -3

Step-by-step explanation:

using the slope formula y2 - y1/x2 - x1 = 1 so

-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7

Answer:

Tom's weekly allowance is $16.

Step-by-step explanation:

With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:

$15-$7=$8

Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:

$8*2=$16

According to this,the answer is that Tom's weekly allowance is $16.

Answer:

20

Step-by-step explanation:

20 pints because your convert 10 quarts into pints

Answer:

i think 100 pints

Step-by-step explanation:

babababababababbababavavabababababa

Answer:

2(3)-8

=-2

45-4.5

=40.5

32+2(4)-7

=33

Answer:

1.x37

2.66y

3.59g

Step-by-step explanation:

so you divied and subtract

you do the same

but add for the last

Answer:

12am

Step-by-step explanation:

Add 6 hrs to 6pm, you will get 12am

Answer: 12

Step-by-step explanation:

Answer:

the first one is true, the third one is true, the fourth one is true, the fifth one is true

Step-by-step explanation:

the second one is false

Answer:

D

Step-by-step explanation:

D starts low on both sides but is highest in the middle

Answer:

18 is 14% of 128.5714

Step-by-step explanation:

it's 77.78

Step-by-step explanation:

14: 18*100 =

(14*100): 18 =

1400: 18 = 77.78

Now we have: 14 is what percent of 18 = 77.78

Question: 14 is what percent of 18?

Percentage solution with steps:

Step 1: We make the assumption that 18 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=18$100%=18.

Step 4: In the same vein, $x\%=14$x%=14.

Step 5: This gives us a pair of simple equations:

$100\%=18(1)$100%=18(1).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{18}{14}$100%x%=1814

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{14}{18}$x%100%=1418

$\Rightarrow x=77.78\%$⇒x=77.78%

Therefore, $14$14 is $77.78\%$77.78% of $18$18.

Answer:

33

Step-by-step explanation:

In ΔPQR,

length of side=

77= 7×11

84= 12

Similarly, In ΔFGH

length=

36=3×12

so, the other side= 3×11= 33

Answer:

33

Step-by-step explanation:

[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values

[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply

84*?=36*77

84*?=2772, divide both sides by 84 to get ? by itself

?=33

Answer:

m=3/2,y-int=5

Step-by-step explanation:

y=mx+b is the slope equation. since -10 is at the end of the equation and it does not have a variable next to it yk it is the y-intercept. if you want you draw this on a graph and you can see that you go up 3 and over 2